Search a number
-
+
86142700 = 225271091129
BaseRepresentation
bin1010010001001…
…10111011101100
320000002111120101
411020212323230
5134023031300
612314200444
72064125620
oct510467354
9200074511
1086142700
1144697316
1224a23124
1314b01317
14b625180
157868b6a
hex5226eec

86142700 has 72 divisors (see below), whose sum is σ = 215784800. Its totient is φ = 29237760.

The previous prime is 86142601. The next prime is 86142733. The reversal of 86142700 is 724168.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75736 + ... + 76864.

Almost surely, 286142700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86142700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107892400).

86142700 is an abundant number, since it is smaller than the sum of its proper divisors (129642100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86142700 is a wasteful number, since it uses less digits than its factorization.

86142700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 86142700 is about 9281.3091748955. The cubic root of 86142700 is about 441.6445002917.

Adding to 86142700 its reverse (724168), we get a palindrome (86866868).

The spelling of 86142700 in words is "eighty-six million, one hundred forty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 140 175 218 350 436 545 700 763 1090 1129 1526 2180 2258 2725 3052 3815 4516 5450 5645 7630 7903 10900 11290 15260 15806 19075 22580 28225 31612 38150 39515 56450 76300 79030 112900 123061 158060 197575 246122 395150 492244 615305 790300 861427 1230610 1722854 2461220 3076525 3445708 4307135 6153050 8614270 12306100 17228540 21535675 43071350 86142700